Prudnikov, I. M.
Published in
Siberian Mathematical Journal

We give necessary and sufficient conditions for the representability of an arbitrary function of two variables as the difference of two convex functions. Some geometric interpretation of these conditions is given. We present an algorithm of such a representation which yields a uniformly convergent sequence of convex functions.

Günyüz, O. Zakharyuta, V.
Published in
Mathematical Notes

Let K ⊂ ℂ be a polynomially convex compact set, f be a function analytic in a domain ℂ¯\K\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\overline{\mathbb{C}} \backslas...

Krivulin, N.
Published in
Lobachevskii Journal of Mathematics

We consider multidimensional optimization problems, which are formulated and solved in terms of tropical mathematics. The problems are to minimize (maximize) a linear or nonlinear function defined on vectors over an idempotent semifield, and may have constraints in the form of linear equations and inequalities. The aim of the paper is twofold: firs...

Demni, N. Hamdi, T. Souissi, A.
Published in
Functional Analysis and Its Applications

Abstract Using a change of basis in the algebra of symmetric functions, we compute the moments of the Hermitian Jacobi process. After a careful arrangement of terms and the evaluation of the determinant of an “almost upper-triangular” matrix, we end up with a moment formula which is considerably simpler than the one derived in [8]. As an applicatio...

Felix Lev,
Published in
Physics of Particles and Nuclei Letters

AbstractFollowing the results of our publications, in the first part of this letter, we explain that quantum theory based on finite mathematics (FQT) is more general (fundamental) than standard quantum theory based on Poincaré invariance. Standard concept of particle-antiparticle is not universal because it arises as a result of symmetry breaking f...

Kuznetsov, D. F.
Published in
Computational Mathematics and Mathematical Physics

AbstractThis paper is devoted to the development and application of the Fourier method to the numerical solution of Ito stochastic differential equations. Fourier series are widely used in various fields of applied mathematics and physics. However, the method of Fourier series as applied to the numerical solution of stochastic differential equation...

Amano, S. Aritomo, Y. Miyamoto, Y. Ishizaki, S. Okubayashi, M.
Published in
Bulletin of the Russian Academy of Sciences: Physics

AbstractThe mass angle distribution shows a strong correlation between mass and angle when quasifission events are dominant. Therefore, as long as quasifission events are dominant, the mass angle distribution is characterized in that diagonal correlation appears. This diagonal correlation could not be reproduced in our previous model that is before...

Andryushin, A. S. Popov, S. B.
Published in
Astronomy Reports

AbstractIn this paper, the orbital evolution of exoplanets at the late stages of stellar evolution was studied using the population synthesis method. Stellar evolution was traced from the main sequence stage to the white dwarf stage. The evolutionary tracks were calculated using the MESA package. The statistics of planets that were absorbed, ejecte...

Mukhin, S. I. Mukherjee, A. Seidov, S. S.
Published in
Journal of Experimental and Theoretical Physics

AbstractAnalytic solution of semiclassical dynamics equations of the Dicke model in a superradiant state is presented. The time dependences of the amplitudes of superradiant photonic condensate and coherent population of two-level atomic array in the microwave cavity prove to be expressed via Jacobi elliptic functions of real time and manifest exis...

Mozgunov, G. Yu. Minaev, P. Yu. Pozanenko, A. S.
Published in
Astronomy Letters

AbstractWe have carried out a systematic analysis of the light curves of gamma-ray bursts (GRBs) detected in the SPI-ACS experiment onboard the INTEGRAL observatory to search for extended emission. The emission occasionally recorded after the prompt active phase of a GRB in the form of an emission that is longer than the active phase and less inten...